14214411424 has 48 divisors (see below), whose sum is σ = 29243047680. Its totient is φ = 6788488960.

The previous prime is 14214411403. The next prime is 14214411437. The reversal of 14214411424 is 42411441241.

It is a super-3 number, since 3×14214411424³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14214411392 and 14214411401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515754 + ... + 542614.

It is an arithmetic number, because the mean of its divisors is an integer number (609230160).

Almost surely, 2^14214411424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14621523840).

14214411424 is an abundant number, since it is smaller than the sum of its proper divisors (15028636256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14214411424 is a wasteful number, since it uses less digits than its factorization.

14214411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27613 (or 27605 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 14214411424 its reverse (42411441241), we get a palindrome (56625852665).

The spelling of 14214411424 in words is "fourteen billion, two hundred fourteen million, four hundred eleven thousand, four hundred twenty-four".